I wonder if unlimited hosting from jolis.net is as good as they are spoken about?

I have no firsthand experience dealing with them and suggest you to choose reputed and time-tested web host.
Say Hostdone.com Giant hosting plans will be good for you.
These guys offer really cheap web hosting solutions.
The PROMO - HOSTDONE20 - gives 20% Discount.

Taking into consideration the situation you have fetched up at, I can draw your attention to these reliable hosts:
- Ultrawebsitehosting.com
- Hostgator.com
- Glowhost.com
They are optimized for application hosting and provide more security, reliability and speed than traditional web hosts. take your time to compare them and choose the best one.

Personally, I don't believe in unlimited web hosting plans. The term unlimited doesn't exists in the web hosting industry. If you come across such solutions you must check out their TOS for the clarification of their unlimited hosting. Even if the web hosting provider tends to offer unlimited hosting, there will be some limitations on resources usually which are not told to the customers.